Which rate is the greatest 800 miles per 16 hours 1500 miles per 50 hours 600 miles per 15 hours or 900 miles per 20 hours?

Answer 1

Convert them all to the same per x hours and then compare them. You can either convert them all to unit rates (x = 1) or some other rate (eg lcm of 16, 50, 15 and 20).

I'll use unit rates:

800 miles per 16 hours = 800 ÷ 16 miles per 16 × 16 hours = 50 mph

1500 miles per 50 hours = 1500 ÷ 50 miles per 50 ÷ 50 hours = 30 mph

600 miles per 15 hours = 600 ÷ 15 miles per 15 ÷ 15 hours = 40 mph

900 miles per 20 hours = 900 ÷ 20 miles per 20 ÷ 20 hours = 45 mph

50 mph is the greatest unit rate

→ 800 miles per 16 hours is the greatest rate.

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The rates can be ordered:

50 > 45 > 40 > 30

→ 800 miles per 16 hours > 900 miles per 20 hours > 600 miles per 15 hours > 1500 miles per 50 hours.